# cardinality

Syllabification: car·di·nal·i·ty
Pronunciation: /ˌkärdəˈnalədē /

## Definition of cardinality in English:

### noun (plural cardinalities)

Mathematics
The number of elements in a set or other grouping, as a property of that grouping.
Example sentences
• Cantor conjectured that there are no infinite cardinalities between the size of the natural numbers and the size of the real numbers (and so there are no sets S as described above).
• The Skolem-Lowenheim theorem asserts that any first-order theory having an infinite model has other models of all smaller infinite cardinalities.
• We understand that sets have a cardinality, that is, that collections have a number associated with them and it doesn't really matter what the members of that set are.

## Definition of cardinality in:

Comments that don't adhere to our Community Guidelines may be moderated or removed.

= trending

## More on cardinality

### More words in this category

binary catenoid cot 3 cube cyclic
Word of the day
Pronunciation: ˈtɛnɪbrəs